Threshold conditions for stochastic coexistence of a competition model with Gompertz growth

Threshold conditions for stochastic coexistence of a competition model with Gompertz growth
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竞争模型与 Gompertz 增长随机共存的阈值条件

DOI:
10.1016/j.aml.2022.108066
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发表时间:
2022-03
影响因子:
3.7
通讯作者:
Jiangtao Yang
Jiangtao Yang
中科院分区:
数学2区
文献类型:
--
作者:
Cuicui Jiang;Wendi Wang;Jiangtao Yang

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Gompertz生长在模拟动物、植物和癌细胞的生长过程中起着重要的作用。研究了一类具有Gompertz增长的竞争模型,该模型受环境噪声干扰.得到了种群随机持久和绝灭的显式阈值条件,揭示了随机噪声对两个竞争种群的竞争排斥和共存的影响.
The Gompertz growth plays an important role in simulating the development of animal, plants and cancer cells. We study a competitive model with the Gompertz growth, which is perturbed by environmental noises. The explicit threshold conditions are obtained for the stochastic permanence and extinction of the populations, which reveal how stochastic noises affect the competitive exclusion and coexistence of two competing populations.
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